Coordinate Geometry Question 69

Question: Point $ ( \frac{1}{2},\frac{-13}{4} ) $ divides the line joining the points $ (3,-5) $ and $ (-7,2) $ in the ratio of

Options:

A) 1 : 3 internally

B) 3 : 1internally

C) 1 : 3 externally

D) 3 : 1externally

Show Answer

Answer:

Correct Answer: A

Solution:

Let the ratio be k : 1 Therefore, $ \frac{-7k+3}{k+1}=\frac{1}{2}\Rightarrow k=\frac{1}{3} $ .

Hence ratio is 1 : 3 internally.